Notes on the Zeros of Riemann's Zeta Function

Details Notes on the Zeros of Riemann's Zeta Function Notes on the Zeros of Riemann's Zeta Function

2009-11-06

arxiv.org/abs/0911.1332v2

Mathematics

General Mathematics

8 pages, 3 figures

Scientific paper

The functional equation for Riemann's Zeta function is studied, from which it is shown why all of the non-trivial, full-zeros of the Zeta function $\zeta (s)$ will only occur on the critical line {$\sigma=1/2$} where {$s=\sigma+I \rho$}, thereby establishing the truth of Riemann's hypothesis. Further, two relatively simple transcendental equations are obtained; the numerical solution of these equations locates all of the zeros of {$\zeta (s)$} on the critical line.

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